diamond

Represents a diamond-shaped operator or decorative symbol commonly used in mathematical logic and set theory.

Overview

Serves multiple purposes across different mathematical contexts, particularly in modal logic where it denotes possibility or necessity operators. In set theory and algebra, it can represent special binary operations or connectives.

Frequently appears in formal logic statements and proofs
Used as a decorative delimiter in mathematical writing
Common in theoretical computer science for expressing modal properties
Sometimes employed to denote diamond products or special algebraic operations

Examples

Logical modal operator 'possibly' in formal logic.

\diamond p \rightarrow p

\diamond p \rightarrow p

Binary operation between sets A and B.

A \diamond B = \{x : x \in A \cup B\}

A \diamond B = \{x : x \in A \cup B\}

Decorative separator in mathematical text.

P(x) \diamond Q(x) \diamond R(x)

P(x) \diamond Q(x) \diamond R(x)